Finite Group Databasebeta

← C2×#13082549 #15661735

Subgroups — C2×#13082549 #15661735

Order 2816.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082549C2132yesmaximal, direct product factor
2C2×#10623195C211yesmaximal, characteristic, complemented
3C2×#10623167C211yesmaximal, characteristic, complemented
4C2×#10623071C211yesmaximal, characteristic, complemented
5C2×#10623145C211yesmaximal, characteristic, complemented
6C2×#10623132C211yesmaximal, characteristic, complemented
7C2×#10623181C211yesmaximal, characteristic, complemented
8C2×#10623210C211yesmaximal, characteristic, complemented
9C2×#10623087C211yesmaximal, characteristic, complemented
10C2×#10623026C211yesmaximal, characteristic, complemented
11C2×#10623026C211yesmaximal, characteristic, complemented
12C2×#10623355C211yesmaximal, characteristic, complemented
13C2×#10623141C211yesmaximal, characteristic, complemented
14C2×#10623122C211yesmaximal, characteristic, complemented
15C2×#10623122C211yesmaximal, characteristic, complemented
16C2×D4×C22⋊D11C211yesmaximal, characteristic, complemented
17C2×#10623200C211yesmaximal, characteristic, complemented
18C2×#10623146C211yesmaximal, characteristic, complemented
19C2×#10623176C211yesmaximal, characteristic, complemented
20C2×#10623191C211yesmaximal, characteristic, complemented
21C2×#10623124C211yesmaximal, characteristic, complemented
22C2×#10623144C211yesmaximal, characteristic, complemented
23C2×#10623131C211yesmaximal, characteristic, complemented
24C2×#10623069C211yesmaximal, characteristic, complemented
25C2×#10623359C211yesmaximal, characteristic, complemented
26C2×#10623117C211yesmaximal, characteristic, complemented
27C22×#66988C211yesmaximal, characteristic, complemented
28C2×D11×#123C211yesmaximal, characteristic, complemented
29C2×#10623077C211yesmaximal, characteristic, complemented
30C2×#10623017C211yesmaximal, characteristic, complemented
31C22×(C22⋊D11)⋊C4C211yesmaximal, characteristic, complemented
32C2×C11×#546C211yesmaximal, characteristic, complemented
33C22×C11×#41C2211yescharacteristic, complemented
34C23×D4×C11C2211yescharacteristic
35C23×C22⋊D11C2211yescharacteristic
36C23×C22⋊D11C2211yescharacteristic
37C24×Dic11C2211yescharacteristic, complemented
38C22×#4341C2211yescharacteristic
39C22×#4341C2211yescharacteristic, complemented
40C22×D4×D11C2211yescharacteristic
41C23×C4×D11C2211yescharacteristic, complemented
42C11×#546C22116yescomplemented
43C2×C11×#124C2211yescharacteristic, complemented
44C2×C11×#123C2211yescharacteristic
45C2×C11×#123C2211yescharacteristic, complemented
46C2×C11×C22⋊Q8C2211yescharacteristic, complemented
47C2×C11×#121C2211yescharacteristic
48C2×C11×#121C2211yescharacteristic, complemented
49C2×C11×#121C2211yescharacteristic, complemented
50C2×C11×#120C2211yescharacteristic, complemented
51C2×C11×#120C2211yescharacteristic, complemented
52C2×C4×D4×C11C2211yescharacteristic, complemented
53C2×C4×D4×C11C2211yescharacteristic, complemented
54C22×C11×C22⋊C4C2211yescharacteristic, complemented
55C22×C11×C22⋊C4C2211yescharacteristic, complemented
56C2×#67006C2211yescharacteristic
57C2×#67006C2211yescharacteristic
58C22×C22⋊Dic11C2211yescharacteristic, complemented
59C22×C22⋊Dic11C2211yescharacteristic, complemented
60C22×C22⋊Dic11C2211yescharacteristic, complemented
61#10623359C22116yescomplemented
62#10623355C22116yescomplemented
63C2×#66999C2211yescharacteristic, complemented
64C2×#66999C2211yescharacteristic, complemented
65C2×#66999C2211yescharacteristic, complemented
66C2×#66997C2211yescharacteristic, complemented
67C2×#66993C2211yescharacteristic
68C2×#66992C2211yescharacteristic
69C2×#66992C2211yescharacteristic
70C2×#66992C2211yescharacteristic, complemented
71C2×#66992C2211yescharacteristic, complemented
72C2×#66992C2211yescharacteristic, complemented
73C2×#66992C2211yescharacteristic, complemented
74C2×#66992C2211yescharacteristic, complemented
75C2×#66992C2211yescharacteristic, complemented
76D4×C22⋊D11C22116yescomplemented
77C2×#66991C2211yescharacteristic
78C2×#66991C2211yescharacteristic, complemented
79C2×#66991C2211yescharacteristic, complemented
80C2×#66991C2211yescharacteristic, complemented
81C2×#66990C2211yescharacteristic
82C2×#66990C2211yescharacteristic
83C2×#66990C2211yescharacteristic, complemented
84C2×#66990C2211yescharacteristic, complemented
85C2×#66989C2211yescharacteristic, complemented
86C2×#66988C2211yescharacteristic
87C2×#66988C2211yescharacteristic
88C2×#66988C2211yescharacteristic, complemented
89C2×#66988C2211yescharacteristic, complemented
90C2×#66988C2211yescharacteristic, complemented
91C2×#66988C2211yescharacteristic, complemented
92C2×#66988C2211yescharacteristic, complemented
93C2×#66988C2211yescharacteristic, complemented
94C2×#66988C2211yescharacteristic, complemented
95C2×#66988C2211yescharacteristic, complemented
96C2×#66988C22116yescomplemented
97C2×D4×Dic11C2211yescharacteristic
98C2×D4×Dic11C2211yescharacteristic, complemented
99C2×D4×Dic11C2211yescharacteristic, complemented
100C2×D4×Dic11C2211yescharacteristic, complemented
101C2×D4×Dic11C2211yescharacteristic, complemented
102C2×#66983C2211yescharacteristic
103C2×#66982C2211yescharacteristic, complemented
104C2×#66982C2211yescharacteristic, complemented
105C2×#66982C2211yescharacteristic, complemented
106C2×C4×C22⋊D11C2211yescharacteristic
107C2×C4×C22⋊D11C2211yescharacteristic, complemented
108C2×C4×C22⋊D11C2211yescharacteristic, complemented
109C2×C4×C22⋊D11C2211yescharacteristic, complemented
110C2×C4×C22⋊D11C2211yescharacteristic, complemented
111C2×C4×C22⋊D11C2211yescharacteristic, complemented
112C2×C4×C22⋊D11C2211yescharacteristic, complemented
113C2×C4×C22⋊D11C2211yescharacteristic, complemented
114C2×C4×C22⋊D11C2211yescharacteristic, complemented
115C22×(C2×D11)⋊C4C2211yescharacteristic, complemented
116C2×#66979C2211yescharacteristic, complemented
117C2×#66979C2211yescharacteristic, complemented
118C2×#66977C2211yescharacteristic, complemented
119C2×#66977C2211yescharacteristic, complemented
120C22×Dic11⋊C4C2211yescharacteristic, complemented
121C22×Dic11⋊C4C2211yescharacteristic, complemented
122C22×Dic11⋊C4C2211yescharacteristic, complemented
123C22×Dic11⋊C4C2211yescharacteristic, complemented
124C22×C4×Dic11C2211yescharacteristic, complemented
125#10623210C22116yescomplemented
126#10623200C22116yescomplemented
127#10623195C22116yescomplemented
128#10623191C22116yescomplemented
129D11×#123C22116yescomplemented
130#10623181C22116yescomplemented
131#10623176C22116yescomplemented
132#10623167C22116yescomplemented
133#10623146C22116yescomplemented
134#10623145C22116yescomplemented
135#10623144C22116yescomplemented
136#10623141C22116yescomplemented
137#10623132C22116yescomplemented
138#10623131C22116yescomplemented
139#10623124C22116yescomplemented
140#10623122C22116yescomplemented
141#10623122C22116yescomplemented
142#10623117C22116yescomplemented
143#10623087C22116yescomplemented
144#10623077C22116yescomplemented
145#10623071C22116yescomplemented
146#10623069C22116yescomplemented
147C2×#66951C2211yescharacteristic, complemented
148C2×#66951C2211yescharacteristic, complemented
149C2×#66949C2211yescharacteristic, complemented
150C2×#66949C2211yescharacteristic, complemented
151C2×#66947C2211yescharacteristic, complemented
152C2×#66947C2211yescharacteristic, complemented
153C2×#66947C2211yescharacteristic, complemented
154C2×C4⋊C4×D11C2211yescharacteristic, complemented
155C2×C4⋊C4×D11C2211yescharacteristic, complemented
156C2×#66943C2211yescharacteristic, complemented
157C2×#66943C2211yescharacteristic, complemented
158C2×#66942C2211yescharacteristic, complemented
159C2×#66942C2211yescharacteristic, complemented
160C2×#66942C2211yescharacteristic, complemented
161C2×#66940C2211yescharacteristic, complemented
162C2×#66940C2211yescharacteristic, complemented
163#10623026C22116yescomplemented
164#10623026C22116yescomplemented
165C2×#66939C2211yescharacteristic, complemented
166C2×#66939C2211yescharacteristic, complemented
167C2×#66939C2211yescharacteristic, complemented
168C2×#66938C2211yescharacteristic, complemented
169C2×#66938C2211yescharacteristic, complemented
170C2×#66938C2211yescharacteristic, complemented
171C2×#66938C2211yescharacteristic, complemented
172C2×#66938C2211yescharacteristic, complemented
173C2×#66937C2211yescharacteristic, complemented
174C2×#66936C2211yescharacteristic, complemented
175C2×#66936C2211yescharacteristic, complemented
176C2×#66936C2211yescharacteristic, complemented
177C2×#66936C2211yescharacteristic, complemented
178C2×#66936C2211yescharacteristic, complemented
179#10623017C22116yescomplemented
180C2×(C22⋊D11)⋊C4C2211yescharacteristic
181C2×(C22⋊D11)⋊C4C2211yescharacteristic
182C2×(C22⋊D11)⋊C4C2211yescharacteristic
183C2×(C22⋊D11)⋊C4C22116yescomplemented
184C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
185C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
186C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
187C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
188C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
189C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
190C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
191C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
192C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
193C2×(C22⋊D11)⋊C4C2211yescharacteristic, complemented
194C2×C22⋊C4×D11C2211yescharacteristic, complemented
195C2×C22⋊C4×D11C2211yescharacteristic, complemented
196C2×C22⋊C4×D11C2211yescharacteristic, complemented
197C2×C22⋊C4×D11C2211yescharacteristic, complemented
198C2×#66932C2211yescharacteristic, complemented
199C2×#66932C2211yescharacteristic, complemented
200C2×#66932C2211yescharacteristic, complemented
201C2×#66932C2211yescharacteristic, complemented
202C2×#66932C2211yescharacteristic, complemented
203C2×#66932C2211yescharacteristic, complemented
204C2×#66932C2211yescharacteristic, complemented
205C2×#66931C2211yescharacteristic, complemented
206C2×#66931C2211yescharacteristic, complemented
207C2×#66931C2211yescharacteristic, complemented
208C2×#66931C2211yescharacteristic, complemented
209C2×#66931C2211yescharacteristic, complemented
210C2×#66930C2211yescharacteristic, complemented
211C2×#66930C2211yescharacteristic, complemented
212C2×#66930C2211yescharacteristic, complemented
213C2×#66930C2211yescharacteristic, complemented
214C2×#66930C2211yescharacteristic, complemented
215C2×#66929C2211yescharacteristic, complemented
216C2×#66925C2211yescharacteristic, complemented
217C2×#66925C2211yescharacteristic, complemented
218C2×C4×Dic22C2211yescharacteristic, complemented
219C25×C11C2311yescharacteristic
220C25×C11C2311yescharacteristic
221C24×D11C2311yescharacteristic
222C24×D11C2311yescharacteristic
223C2×C11×#41—44no—
224C2×C11×#41C2318yescomplemented
225C22×Q8×C11C2311yescharacteristic
226C22×D4×C11—44no—
227C22×D4×C11C2311yescharacteristic
228C22×D4×C11C2311yescharacteristic
229C22×D4×C11C2311yescharacteristic
230C22×D4×C11C2311yescharacteristic
231C22×D4×C11C2311yescharacteristic
232C22×D4×C11C2311yescharacteristic
233C22×D4×C11C2311yescharacteristic
234C22×D4×C11C2311yescharacteristic
235C22×D4×C11C2318yes—
236C22×D4×C11C2311yescharacteristic
237C23×C4×C11C2311yescharacteristic
238C23×C4×C11C2311yescharacteristic
239C23×C4×C11C2311yescharacteristic
240C23×C4×C11C2311yescharacteristic
241C23×C4×C11C2311yescharacteristic
242C23×C4×C11C2311yescharacteristic
243C22×C22⋊D11—28no—
244C22×C22⋊D11—28no—
245C22×C22⋊D11C2311yescharacteristic
246C22×C22⋊D11C2311yescharacteristic
247C22×C22⋊D11C2311yescharacteristic
248C22×C22⋊D11C2311yescharacteristic
249C22×C22⋊D11C2318yes—
250C22×C22⋊D11C2311yescharacteristic
251C22×C22⋊D11C2318yes—
252C22×C22⋊D11C2311yescharacteristic
253C22×C22⋊D11C2311yescharacteristic
254C22×C22⋊D11C2311yescharacteristic
255C22×C22⋊D11C2311yescharacteristic
256C22×C22⋊D11C2311yescharacteristic
257C22×C22⋊D11C2311yescharacteristic
258C22×C22⋊D11C2311yescharacteristic
259C22×C22⋊D11C2311yescharacteristic
260C22×C22⋊D11C2311yescharacteristic
261C23×Dic11—44no—
262C23×Dic11C2311yescharacteristic
263C23×Dic11C2311yescharacteristic
264C23×Dic11C2311yescharacteristic
265C23×Dic11C2311yescharacteristic
266C23×Dic11C2311yescharacteristic
267C23×Dic11C2311yescharacteristic
268C23×Dic11C2311yescharacteristic
269C23×Dic11C2311yescharacteristic
270C23×Dic11C2311yescharacteristic
271C23×Dic11C2311yescharacteristic
272C23×Dic11C2311yescharacteristic
273C23×Dic11C2311yescharacteristic
274C23×Dic11C2318yescomplemented
275C2×#4341—28no—
276C2×#4341—44no—
277C2×#4341C2318yes—
278C2×#4341C2318yescomplemented
279C2×D4×D11—44no—
280C2×D4×D11C2318yes—
281C22×D44C2311yescharacteristic
282C22×C4×D11—44no—
283C22×C4×D11C2311yescharacteristic
284C22×C4×D11C2311yescharacteristic
285C22×C4×D11C2311yescharacteristic
286C22×C4×D11C2311yescharacteristic
287C22×C4×D11C2311yescharacteristic
288C22×C4×D11C2311yescharacteristic
289C22×C4×D11C2311yescharacteristic
290C22×C4×D11C2311yescharacteristic
291C22×C4×D11C2311yescharacteristic
292C22×C4×D11C2318yescomplemented
293C22×Dic22C2311yescharacteristic
294C22×Dic22C2311yescharacteristic
295C22×Dic22C2311yescharacteristic
296C11×#124C2318yescomplemented
297C11×#123C2318yes—
298C11×#123C2318yescomplemented
299C11×C22⋊Q8C2318yescomplemented
300C11×#121C2318yes—
301C11×#121C2318yescomplemented
302C11×#121C2318yescomplemented
303C11×#120C2318yescomplemented
304C11×#120C2318yescomplemented
305C4×D4×C11C2318yescomplemented
306C4×D4×C11C2318yescomplemented
307C2×C11×C4⋊C4C2311yescharacteristic
308C2×C11×C4⋊C4C2311yescharacteristic
309C2×C11×C4⋊C4C2311yescharacteristic
310C2×C11×C4⋊C4C2311yescharacteristic
311C2×C11×C22⋊C4C2311yescharacteristic
312C2×C11×C22⋊C4C2311yescharacteristic
313C2×C11×C22⋊C4C2311yescharacteristic
314C2×C11×C22⋊C4C2311yescharacteristic
315C2×C11×C22⋊C4C2311yescharacteristic
316C2×C11×C22⋊C4C2311yescharacteristic
317C2×C11×C22⋊C4C2311yescharacteristic
318C2×C11×C22⋊C4C2311yescharacteristic
319C2×C11×C22⋊C4C2311yescharacteristic
320C2×C11×C22⋊C4C2311yescharacteristic
321C2×C11×C22⋊C4C2311yescharacteristic
322C2×C11×C22⋊C4C2311yescharacteristic
323C2×C11×C22⋊C4C2318yescomplemented
324C2×C11×C22⋊C4C2318yescomplemented
325C2×C42×C11C2311yescharacteristic
326#67006C2318yes—
327#67006C2318yes—
328C2×C22⋊Dic11C2311yescharacteristic
329C2×C22⋊Dic11C2311yescharacteristic
330C2×C22⋊Dic11C2311yescharacteristic
331C2×C22⋊Dic11C2311yescharacteristic
332C2×C22⋊Dic11C2311yescharacteristic
333C2×C22⋊Dic11C2311yescharacteristic
334C2×C22⋊Dic11C2311yescharacteristic
335C2×C22⋊Dic11C2311yescharacteristic
336C2×C22⋊Dic11C2311yescharacteristic
337C2×C22⋊Dic11C2311yescharacteristic
338C2×C22⋊Dic11C2311yescharacteristic
339C2×C22⋊Dic11C2311yescharacteristic
340C2×C22⋊Dic11C2311yescharacteristic
341C2×C22⋊Dic11C2311yescharacteristic
342C2×C22⋊Dic11C2311yescharacteristic
343C2×C22⋊Dic11C2311yescharacteristic
344C2×C22⋊Dic11C2311yescharacteristic
345C2×C22⋊Dic11C2311yescharacteristic
346C2×C22⋊Dic11C2311yescharacteristic
347C2×C22⋊Dic11C2311yescharacteristic
348C2×C22⋊Dic11C2318yescomplemented
349C2×C22⋊Dic11C2318yescomplemented
350C2×C22⋊Dic11C2318yescomplemented
351#66999C2318yescomplemented
352#66999C2318yescomplemented
353#66999C2318yescomplemented
354#66997C2318yescomplemented
355#66993C2318yes—
356#66992C2318yes—
357#66992C2318yes—
358#66992C2318yescomplemented
359#66992C2318yescomplemented
360#66992C2318yescomplemented
361#66992C2318yescomplemented
362#66992C2318yescomplemented
363#66992C2318yescomplemented
364#66991C2318yes—
365#66991C2318yescomplemented
366#66991C2318yescomplemented
367#66991C2318yescomplemented
368#66990C2318yes—
369#66990C2318yes—
370#66990C2318yescomplemented
371#66990C2318yescomplemented
372#66989C2318yescomplemented
373#66988C2318yes—
374#66988C2318yes—
375#66988C2318yescomplemented
376#66988C2318yescomplemented
377#66988C2318yescomplemented
378#66988C2318yescomplemented
379#66988C2318yescomplemented
380#66988C2318yescomplemented
381#66988C2318yescomplemented
382#66988C2318yescomplemented
383D4×Dic11C2318yes—
384D4×Dic11C2318yescomplemented
385D4×Dic11C2318yescomplemented
386D4×Dic11C2318yescomplemented
387D4×Dic11C2318yescomplemented
388#66983C2318yes—
389#66982C2318yescomplemented
390#66982C2318yescomplemented
391#66982C2318yescomplemented
392C4×C22⋊D11C2318yes—
393C4×C22⋊D11C2318yescomplemented
394C4×C22⋊D11C2318yescomplemented
395C4×C22⋊D11C2318yescomplemented
396C4×C22⋊D11C2318yescomplemented
397C4×C22⋊D11C2318yescomplemented
398C4×C22⋊D11C2318yescomplemented
399C4×C22⋊D11C2318yescomplemented
400C4×C22⋊D11C2318yescomplemented
401C2×(C2×D11)⋊C4C2311yescharacteristic
402C2×(C2×D11)⋊C4C2311yescharacteristic
403C2×(C2×D11)⋊C4C2311yescharacteristic
404C2×(C2×D11)⋊C4C2311yescharacteristic
405C2×(C2×D11)⋊C4C2311yescharacteristic
406C2×(C2×D11)⋊C4C2311yescharacteristic
407C2×(C2×D11)⋊C4C2311yescharacteristic
408C2×(C2×D11)⋊C4C2311yescharacteristic
409C2×(C2×D11)⋊C4C2311yescharacteristic
410C2×(C2×D11)⋊C4C2311yescharacteristic
411C2×(C2×D11)⋊C4C2311yescharacteristic
412C2×(C2×D11)⋊C4C2311yescharacteristic
413C2×(C2×D11)⋊C4C2311yescharacteristic
414C2×(C2×D11)⋊C4C2311yescharacteristic
415C2×(C2×D11)⋊C4C2311yescharacteristic
416C2×(C2×D11)⋊C4C2311yescharacteristic
417C2×(C2×D11)⋊C4C2318yescomplemented
418#66979C2318yescomplemented
419#66979C2318yescomplemented
420C2×C4⋊Dic11C2311yescharacteristic
421C2×C4⋊Dic11C2311yescharacteristic
422C2×C4⋊Dic11C2311yescharacteristic
423C2×C4⋊Dic11C2311yescharacteristic
424C2×C4⋊Dic11C2311yescharacteristic
425C2×C4⋊Dic11C2311yescharacteristic
426C2×C4⋊Dic11C2311yescharacteristic
427C2×C4⋊Dic11C2311yescharacteristic
428#66977C2318yescomplemented
429#66977C2318yescomplemented
430C2×Dic11⋊C4C2311yescharacteristic
431C2×Dic11⋊C4C2311yescharacteristic
432C2×Dic11⋊C4C2311yescharacteristic
433C2×Dic11⋊C4C2311yescharacteristic
434C2×Dic11⋊C4C2311yescharacteristic
435C2×Dic11⋊C4C2311yescharacteristic
436C2×Dic11⋊C4C2311yescharacteristic
437C2×Dic11⋊C4C2311yescharacteristic
438C2×Dic11⋊C4C2311yescharacteristic
439C2×Dic11⋊C4C2311yescharacteristic
440C2×Dic11⋊C4C2311yescharacteristic
441C2×Dic11⋊C4C2311yescharacteristic
442C2×Dic11⋊C4C2311yescharacteristic
443C2×Dic11⋊C4C2311yescharacteristic
444C2×Dic11⋊C4C2311yescharacteristic
445C2×Dic11⋊C4C2311yescharacteristic
446C2×Dic11⋊C4C2311yescharacteristic
447C2×Dic11⋊C4C2311yescharacteristic
448C2×Dic11⋊C4C2311yescharacteristic
449C2×Dic11⋊C4C2311yescharacteristic
450C2×Dic11⋊C4C2311yescharacteristic
451C2×Dic11⋊C4C2311yescharacteristic
452C2×Dic11⋊C4C2311yescharacteristic
453C2×Dic11⋊C4C2311yescharacteristic
454C2×Dic11⋊C4C2318yescomplemented
455C2×Dic11⋊C4C2318yescomplemented
456C2×Dic11⋊C4C2318yescomplemented
457C2×Dic11⋊C4C2318yescomplemented
458C2×C4×Dic11C2311yescharacteristic
459C2×C4×Dic11C2311yescharacteristic
460C2×C4×Dic11C2311yescharacteristic
461C2×C4×Dic11C2311yescharacteristic
462C2×C4×Dic11C2311yescharacteristic
463C2×C4×Dic11C2311yescharacteristic
464C2×C4×Dic11C2311yescharacteristic
465C2×C4×Dic11C2311yescharacteristic
466C2×C4×Dic11C2311yescharacteristic
467C2×C4×Dic11C2311yescharacteristic
468C2×C4×Dic11C2311yescharacteristic
469C2×C4×Dic11C2318yescomplemented
470#66951C2318yescomplemented
471#66951C2318yescomplemented
472#66949C2318yescomplemented
473#66949C2318yescomplemented
474#66947C2318yescomplemented
475#66947C2318yescomplemented
476#66947C2318yescomplemented
477C4⋊C4×D11C2318yescomplemented
478C4⋊C4×D11C2318yescomplemented
479#66943C2318yescomplemented
480#66943C2318yescomplemented
481#66942C2318yescomplemented
482#66942C2318yescomplemented
483#66942C2318yescomplemented
484#66940C2318yescomplemented
485#66940C2318yescomplemented
486#66939C2318yescomplemented
487#66939C2318yescomplemented
488#66939C2318yescomplemented
489#66938C2318yescomplemented
490#66938C2318yescomplemented
491#66938C2318yescomplemented
492#66938C2318yescomplemented
493#66938C2318yescomplemented
494#66937C2318yescomplemented
495#66936C2318yescomplemented
496#66936C2318yescomplemented
497#66936C2318yescomplemented
498#66936C2318yescomplemented
499#66936C2318yescomplemented
500(C22⋊D11)⋊C4C2318yes—
501(C22⋊D11)⋊C4C2318yes—
502(C22⋊D11)⋊C4C2318yes—
503(C22⋊D11)⋊C4C2318yescomplemented
504(C22⋊D11)⋊C4C2318yescomplemented
505(C22⋊D11)⋊C4C2318yescomplemented
506(C22⋊D11)⋊C4C2318yescomplemented
507(C22⋊D11)⋊C4C2318yescomplemented
508(C22⋊D11)⋊C4C2318yescomplemented
509(C22⋊D11)⋊C4C2318yescomplemented
510(C22⋊D11)⋊C4C2318yescomplemented
511(C22⋊D11)⋊C4C2318yescomplemented
512(C22⋊D11)⋊C4C2318yescomplemented
513C22⋊C4×D11C2318yescomplemented
514C22⋊C4×D11C2318yescomplemented
515C22⋊C4×D11C2318yescomplemented
516C22⋊C4×D11C2318yescomplemented
517#66932C2318yescomplemented
518#66932C2318yescomplemented
519#66932C2318yescomplemented
520#66932C2318yescomplemented
521#66932C2318yescomplemented
522#66932C2318yescomplemented
523#66932C2318yescomplemented
524#66931C2318yescomplemented
525#66931C2318yescomplemented
526#66931C2318yescomplemented
527#66931C2318yescomplemented
528#66931C2318yescomplemented
529#66930C2318yescomplemented
530#66930C2318yescomplemented
531#66930C2318yescomplemented
532#66930C2318yescomplemented
533#66930C2318yescomplemented
534#66929C2318yescomplemented
535#66925C2318yescomplemented
536#66925C2318yescomplemented
537C4×Dic22C2318yescomplemented
538C2×#3513—111nomaximal, Sylow
539C24×C11—24no—
540C24×C11—24no—
541C24×C11—24no—
542C24×C11—42no—
543C24×C11—42no—
544C24×C11—42no—
545C24×C11C2411yescharacteristic
546C24×C11C2411yescharacteristic
547C24×C11C2411yescharacteristic
548C24×C11C2411yescharacteristic
549C24×C11C2414yes—
550C24×C11C2411yescharacteristic
551C24×C11C2411yescharacteristic
552C24×C11C2414yes—
553C23×D11—24no—
554C23×D11—24no—
555C23×D11—24no—
556C23×D11—42no—
557C23×D11—42no—
558C23×D11—42no—
559C23×D11C2411yescharacteristic
560C23×D11C2411yescharacteristic
561C23×D11C2414yes—
562C23×D11C2411yescharacteristic
563C23×D11C2414yes—
564C11×#41—416no—
565C2×Q8×C11—42no—
566C2×Q8×C11C2414yes—
567C2×D4×C11—24no—
568C2×D4×C11—24no—
569C2×D4×C11—24no—
570C2×D4×C11—24no—
571C2×D4×C11—42no—
572C2×D4×C11—42no—
573C2×D4×C11—42no—
574C2×D4×C11—42no—
575C2×D4×C11—42no—
576C2×D4×C11—416no—
577C2×D4×C11C2414yes—
578C2×D4×C11C2414yes—
579C2×D4×C11C2414yes—
580C2×D4×C11C2414yes—
581C2×D4×C11C2414yes—
582C2×D4×C11C2414yes—
583C2×D4×C11C2414yes—
584C2×D4×C11C2414yes—
585C2×D4×C11C2414yes—
586C22×C4×C11—24no—
587C22×C4×C11—42no—
588C22×C4×C11—42no—
589C22×C4×C11—42no—
590C22×C4×C11—42no—
591C22×C4×C11—42no—
592C22×C4×C11C2411yescharacteristic
593C22×C4×C11C2411yescharacteristic
594C22×C4×C11C2411yescharacteristic
595C22×C4×C11C2411yescharacteristic
596C22×C4×C11C2411yescharacteristic
597C22×C4×C11C2411yescharacteristic
598C22×C4×C11C2411yescharacteristic
599C22×C4×C11C2411yescharacteristic
600C22×C4×C11C2411yescharacteristic
601C22×C4×C11C2414yes—
602C22×C4×C11C2414yes—
603C22×C4×C11C2414yes—
604C22×C4×C11C2414yes—
605C22×C4×C11C2414yes—
606C22×C4×C11C2414yes—
607C2×C22⋊D11—232no—
608C2×C22⋊D11—232no—
609C2×C22⋊D11—24no—
610C2×C22⋊D11—24no—
611C2×C22⋊D11—24no—
612C2×C22⋊D11—24no—
613C2×C22⋊D11—24no—
614C2×C22⋊D11—24no—
615C2×C22⋊D11—24no—
616C2×C22⋊D11—24no—
617C2×C22⋊D11—42no—
618C2×C22⋊D11—42no—
619C2×C22⋊D11—42no—
620C2×C22⋊D11—42no—
621C2×C22⋊D11—42no—
622C2×C22⋊D11#4118yescomplemented
623C2×C22⋊D11C2414yes—
624C2×C22⋊D11C2414yes—
625C2×C22⋊D11C2414yes—
626C2×C22⋊D11C2414yes—
627C2×C22⋊D11C2414yes—
628C2×C22⋊D11C2414yes—
629C2×C22⋊D11C2414yes—
630C2×C22⋊D11C2414yes—
631C2×C22⋊D11C2414yes—
632C2×C22⋊D11C2414yes—
633C2×C22⋊D11C2414yes—
634C2×C22⋊D11C2414yes—
635C2×C22⋊D11C2414yes—
636C2×C22⋊D11C2414yes—
637C22×Dic11—24no—
638C22×Dic11—24no—
639C22×Dic11—24no—
640C22×Dic11—24no—
641C22×Dic11—24no—
642C22×Dic11—24no—
643C22×Dic11—42no—
644C22×Dic11—42no—
645C22×Dic11—42no—
646C22×Dic11—42no—
647C22×Dic11—42no—
648C22×Dic11—416no—
649C22×Dic11—42no—
650C22×Dic11C2414yes—
651C22×Dic11C2414yes—
652C22×Dic11C2414yes—
653C22×Dic11C2414yes—
654C22×Dic11C2414yes—
655C22×Dic11C2414yes—
656C22×Dic11C2411yescharacteristic
657C22×Dic11C2411yescharacteristic
658C22×Dic11C2411yescharacteristic
659C22×Dic11C2411yescharacteristic
660C22×Dic11C2411yescharacteristic
661C22×Dic11C2411yescharacteristic
662C22×Dic11C2411yescharacteristic
663C22×Dic11C2411yescharacteristic
664C22×Dic11C2411yescharacteristic
665C22×Dic11C2411yescharacteristic
666C22×Dic11C2411yescharacteristic
667C22×Dic11C2411yescharacteristic
668C22×Dic11C2414yes—
669C22×Dic11C2414yes—
670C22×Dic11C2414yes—
671C22×Dic11C2414yes—
672C22×Dic11C2414yes—
673C22×Dic11C2414yes—
674C22×Dic11C2411yescharacteristic
675#4341—232no—
676#4341—416no—
677D4×D11—416no—
678C2×D44—42no—
679C2×D44C2414yes—
680C2×C4×D11—24no—
681C2×C4×D11—42no—
682C2×C4×D11—42no—
683C2×C4×D11—42no—
684C2×C4×D11—42no—
685C2×C4×D11—416no—
686C2×C4×D11—42no—
687C2×C4×D11—42no—
688C2×C4×D11—42no—
689C2×C4×D11—42no—
690C2×C4×D11C2414yes—
691C2×C4×D11C2414yes—
692C2×C4×D11C2414yes—
693C2×C4×D11C2414yes—
694C2×C4×D11C2414yes—
695C2×C4×D11C2414yes—
696C2×C4×D11C2414yes—
697C2×C4×D11C2414yes—
698C2×C4×D11C2414yes—
699C2×Dic22—24no—
700C2×Dic22—42no—
701C2×Dic22—42no—
702C2×Dic22C2414yes—
703C2×Dic22C2414yes—
704C2×Dic22C2414yes—
705C11×C4⋊C4C2414yes—
706C11×C4⋊C4C2414yes—
707C11×C4⋊C4C2414yes—
708C11×C4⋊C4C2414yes—
709C11×C22⋊C4C2414yes—
710C11×C22⋊C4C2414yes—
711C11×C22⋊C4C2414yes—
712C11×C22⋊C4C2414yes—
713C11×C22⋊C4C2414yes—
714C11×C22⋊C4C2414yes—
715C11×C22⋊C4C2414yes—
716C11×C22⋊C4C2414yes—
717C11×C22⋊C4C2414yes—
718C11×C22⋊C4C2414yes—
719C11×C22⋊C4C2414yes—
720C11×C22⋊C4C2414yes—
721C42×C11C2414yes—
722C22⋊Dic11C2414yes—
723C22⋊Dic11C2414yes—
724C22⋊Dic11C2414yes—
725C22⋊Dic11C2414yes—
726C22⋊Dic11C2414yes—
727C22⋊Dic11C2414yes—
728C22⋊Dic11C2414yes—
729C22⋊Dic11C2414yes—
730C22⋊Dic11C2414yes—
731C22⋊Dic11C2414yes—
732C22⋊Dic11C2414yes—
733C22⋊Dic11C2414yes—
734C22⋊Dic11C2414yes—
735C22⋊Dic11C2414yes—
736C22⋊Dic11C2414yes—
737C22⋊Dic11C2414yes—
738C22⋊Dic11C2414yes—
739C22⋊Dic11C2414yes—
740C22⋊Dic11C2414yes—
741C22⋊Dic11C2414yes—
742(C2×D11)⋊C4C2414yes—
743(C2×D11)⋊C4C2414yes—
744(C2×D11)⋊C4C2414yes—
745(C2×D11)⋊C4C2414yes—
746(C2×D11)⋊C4C2414yes—
747(C2×D11)⋊C4C2414yes—
748(C2×D11)⋊C4C2414yes—
749(C2×D11)⋊C4C2414yes—
750(C2×D11)⋊C4C2414yes—
751(C2×D11)⋊C4C2414yes—
752(C2×D11)⋊C4C2414yes—
753(C2×D11)⋊C4C2414yes—
754(C2×D11)⋊C4C2414yes—
755(C2×D11)⋊C4C2414yes—
756(C2×D11)⋊C4C2414yes—
757(C2×D11)⋊C4C2414yes—
758C4⋊Dic11C2414yes—
759C4⋊Dic11C2414yes—
760C4⋊Dic11C2414yes—
761C4⋊Dic11C2414yes—
762C4⋊Dic11C2414yes—
763C4⋊Dic11C2414yes—
764C4⋊Dic11C2414yes—
765C4⋊Dic11C2414yes—
766Dic11⋊C4C2414yes—
767Dic11⋊C4C2414yes—
768Dic11⋊C4C2414yes—
769Dic11⋊C4C2414yes—
770Dic11⋊C4C2414yes—
771Dic11⋊C4C2414yes—
772Dic11⋊C4C2414yes—
773Dic11⋊C4C2414yes—
774Dic11⋊C4C2414yes—
775Dic11⋊C4C2414yes—
776Dic11⋊C4C2414yes—
777Dic11⋊C4C2414yes—
778Dic11⋊C4C2414yes—
779Dic11⋊C4C2414yes—
780Dic11⋊C4C2414yes—
781Dic11⋊C4C2414yes—
782Dic11⋊C4C2414yes—
783Dic11⋊C4C2414yes—
784Dic11⋊C4C2414yes—
785Dic11⋊C4C2414yes—
786Dic11⋊C4C2414yes—
787Dic11⋊C4C2414yes—
788Dic11⋊C4C2414yes—
789Dic11⋊C4C2414yes—
790C4×Dic11C2414yes—
791C4×Dic11C2414yes—
792C4×Dic11C2414yes—
793C4×Dic11C2414yes—
794C4×Dic11C2414yes—
795C4×Dic11C2414yes—
796C4×Dic11C2414yes—
797C4×Dic11C2414yes—
798C4×Dic11C2414yes—
799C4×Dic11C2414yes—
800C4×Dic11C2414yes—
801#3513—1132no—
802C2×#559—111no—
803C2×#554—111no—
804C2×#553—111no—
805C2×#553—111no—
806C2×#553—111no—
807C2×#552—111no—
808C2×#551—111no—
809C2×#551—111no—
810C2×#551—111no—
811C2×#551—111no—
812C2×#547—111no—
813C2×#546—111no—
814C2×#546—111no—
815C2×#546—111no—
816C2×#546D1111yescharacteristic, complemented
817C2×D42—111no—
818C2×#542—111no—
819C2×#540—111no—
820C2×#539—111no—
821C2×#539—111no—
822C2×#538—111no—
823C2×#538—111no—
824C2×#529—111no—
825C2×#529—111no—
826C2×#525—111no—
827C2×#525—111no—
828C22×#123—111no—
829C22×#123—111no—
830C2×#520—111no—
831C2×#518—111no—
832C22×C4×D4—111no—
833C23×C11—22no—
834C23×C11—22no—
835C23×C11—22no—
836C23×C11—22no—
837C23×C11—22no—
838C23×C11—22no—
839C23×C11—28no—
840C23×C11—22no—
841C23×C11—22no—
842C23×C11—28no—
843C23×C11—22no—
844C23×C11—22no—
845C23×C11—22no—
846C23×C11—22no—
847C23×C11—22no—
848C23×C11—22no—
849C23×C11—22no—
850C23×C11—22no—
851C23×C11—28no—
852C23×C11—44no—
853C23×C11—44no—
854C23×C11—44no—
855C23×C11—416no—
856C23×C11—88no—
857C23×C11C2×#4114yes—
858C23×C11H(5,𝔽2)14yes—
859C23×C11C2512yes—
860C23×C11C2512yes—
861C23×C11C2512yes—
862C23×C11C2512yes—
863C23×C11C2512yes—
864C23×C11C2512yes—
865C23×C11C2511yescharacteristic
866C22×D11—22no—
867C22×D11—22no—
868C22×D11—22no—
869C22×D11—22no—
870C22×D11—22no—
871C22×D11—28no—
872C22×D11—22no—
873C22×D11—22no—
874C22×D11—22no—
875C22×D11—28no—
876C22×D11—28no—
877C22×D11—44no—
878C22×D11—44no—
879C22×D11—44no—
880C22×D11—416no—
881C22×D11—88no—
882C22×D11C2×#4114yes—
883C22×D11C2512yes—
884C22×D11C2512yes—
885C22×D11C2512yes—
886Q8×C11—44no—
887D4×C11—28no—
888D4×C11—28no—
889D4×C11—28no—
890D4×C11—28no—
891D4×C11—44no—
892D4×C11—44no—
893D4×C11—44no—
894D4×C11—44no—
895D4×C11—44no—
896C2×C4×C11—22no—
897C2×C4×C11—22no—
898C2×C4×C11—22no—
899C2×C4×C11—22no—
900C2×C4×C11—28no—
901C2×C4×C11—22no—
902C2×C4×C11—22no—
903C2×C4×C11—22no—
904C2×C4×C11—22no—
905C2×C4×C11—22no—
906C2×C4×C11—44no—
907C2×C4×C11—44no—
908C2×C4×C11—44no—
909C2×C4×C11—44no—
910C2×C4×C11—44no—
911C2×C4×C11C2512yes—
912C2×C4×C11C2512yes—
913C2×C4×C11C2512yes—
914C2×C4×C11C2512yes—
915C2×C4×C11C2512yes—
916C2×C4×C11C2512yes—
917C2×C4×C11C2512yes—
918C2×C4×C11C2512yes—
919C2×C4×C11C2512yes—
920C22⋊D11—28no—
921C22⋊D11—28no—
922C22⋊D11—28no—
923C22⋊D11—28no—
924C22⋊D11—28no—
925C22⋊D11—28no—
926C22⋊D11—28no—
927C22⋊D11—28no—
928C22⋊D11—44no—
929C22⋊D11—44no—
930C22⋊D11—44no—
931C22⋊D11—44no—
932C22⋊D11—44no—
933C22⋊D11C2×#41116yescomplemented
934C2×Dic11—22no—
935C2×Dic11—22no—
936C2×Dic11—28no—
937C2×Dic11—22no—
938C2×Dic11—22no—
939C2×Dic11—22no—
940C2×Dic11—22no—
941C2×Dic11—28no—
942C2×Dic11—22no—
943C2×Dic11—22no—
944C2×Dic11—22no—
945C2×Dic11—28no—
946C2×Dic11—22no—
947C2×Dic11—22no—
948C2×Dic11—22no—
949C2×Dic11—28no—
950C2×Dic11—28no—
951C2×Dic11—28no—
952C2×Dic11—44no—
953C2×Dic11—44no—
954C2×Dic11—44no—
955C2×Dic11—44no—
956C2×Dic11—44no—
957C2×Dic11—44no—
958C2×Dic11C2×#4114yes—
959C2×Dic11C2512yes—
960C2×Dic11C2512yes—
961C2×Dic11C2512yes—
962C2×Dic11C2512yes—
963C2×Dic11C2512yes—
964C2×Dic11C2512yes—
965C2×Dic11C2512yes—
966C2×Dic11C2512yes—
967C2×Dic11C2512yes—
968C2×Dic11C2512yes—
969C2×Dic11C2512yes—
970C2×Dic11C2512yes—
971C2×Dic11C2512yes—
972D44—44no—
973C4×D11—28no—
974C4×D11—44no—
975C4×D11—44no—
976C4×D11—44no—
977C4×D11—44no—
978C4×D11—44no—
979C4×D11—44no—
980C4×D11—44no—
981C4×D11—44no—
982Dic22—28no—
983Dic22—44no—
984Dic22—44no—
985C22×#41—111no—
986C22×#41—111no—
987C22×#41C2×D1111yescharacteristic, complemented
988C23×D4—111no—
989C23×D4—111no—
990C23×D4—111no—
991C23×D4C2×D1111yescharacteristic
992C24×C4—111no—
993C24×C4—111no—
994#559—1116no—
995#554—1116no—
996#553—1116no—
997#553—1116no—
998#553—1116no—
999#552—1116no—
1000#551—1116no—
1001#551—1116no—
1002#551—1116no—
1003#551—1116no—
1004#547—1116no—
1005#546—1116no—
1006#546—1116no—
1007#546—1116no—
1008#546C2×D11116yescomplemented
1009D42—1116no—
1010#542—1116no—
1011#540—1116no—
1012#539—1116no—
1013#539—1116no—
1014#538—1116no—
1015#538—1116no—
1016C2×C4⋊Q8—111no—
1017C2×#127—111no—
1018#529—1116no—
1019#529—1116no—
1020C2×#126—111no—
1021C2×#126—111no—
1022C2×#126—111no—
1023C2×#126—111no—
1024C2×#126—111no—
1025C2×#126—111no—
1026C2×#126—111no—
1027C2×#126—111no—
1028C2×#126—111no—
1029C2×#126—111no—
1030C2×#125—111no—
1031C2×#125—111no—
1032C2×#125—111no—
1033C2×#125—111no—
1034C2×#125—111no—
1035C2×#124—111no—
1036C2×#124—111no—
1037C2×#124—111no—
1038C2×#124—111no—
1039C2×#124—111no—
1040C2×#124—111no—
1041C2×#124C2×D1111yescharacteristic, complemented
1042#525—1116no—
1043#525—1116no—
1044C2×#123—111no—
1045C2×#123—111no—
1046C2×#123—111no—
1047C2×#123—111no—
1048C2×#123—111no—
1049C2×#123—111no—
1050C2×#123—111no—
1051C2×#123—111no—
1052C2×#123—1116no—
1053C2×#123—111no—
1054C2×#123—111no—
1055C2×#123—111no—
1056C2×#123—111no—
1057C2×#123—111no—
1058C2×#123—1116no—
1059C2×#123—111no—
1060C2×#123—111no—
1061C2×#123—111no—
1062C2×#123—111no—
1063C2×#123—111no—
1064C2×#123—111no—
1065C2×#123—111no—
1066C2×#123—111no—
1067C2×#123—111no—
1068C2×#123—111no—
1069C2×#123—111no—
1070C2×#123C2×D1111yescharacteristic
1071C2×#123C2×D1111yescharacteristic, complemented
1072C2×C22⋊Q8—111no—
1073C2×C22⋊Q8—111no—
1074C2×C22⋊Q8—111no—
1075C2×C22⋊Q8—111no—
1076C2×C22⋊Q8—111no—
1077C2×C22⋊Q8—111no—
1078C2×C22⋊Q8—111no—
1079C2×C22⋊Q8—111no—
1080C2×C22⋊Q8—111no—
1081C2×C22⋊Q8—111no—
1082C2×C22⋊Q8—111no—
1083C2×C22⋊Q8—111no—
1084C2×C22⋊Q8C2×D1111yescharacteristic, complemented
1085C2×#121—111no—
1086C2×#121—111no—
1087C2×#121—111no—
1088C2×#121—111no—
1089C2×#121—111no—
1090C2×#121—111no—
1091C2×#121—111no—
1092C2×#121—111no—
1093C2×#121—111no—
1094C2×#121—111no—
1095C2×#121—111no—
1096C2×#121—111no—
1097C2×#121—111no—
1098C2×#121—111no—
1099C2×#121C2×D1111yescharacteristic
1100C2×#121C2×D1111yescharacteristic, complemented
1101C2×#121C2×D1111yescharacteristic, complemented
1102C2×#120—111no—
1103C2×#120—111no—
1104C2×#120—111no—
1105C2×#120—111no—
1106C2×#120—111no—
1107C2×#120—111no—
1108C2×#120C2×D1111yescharacteristic, complemented
1109C2×#120C2×D1111yescharacteristic, complemented
1110#520—1116no—
1111#518—1116no—
1112C2×C4×Q8—111no—
1113C2×C4×Q8—111no—
1114C2×C4×Q8—111no—
1115C2×C4×D4—111no—
1116C2×C4×D4—111no—
1117C2×C4×D4—111no—
1118C2×C4×D4—111no—
1119C2×C4×D4—111no—
1120C2×C4×D4—111no—
1121C2×C4×D4—111no—
1122C2×C4×D4—111no—
1123C2×C4×D4—111no—
1124C2×C4×D4—111no—
1125C2×C4×D4—111no—
1126C2×C4×D4—111no—
1127C2×C4×D4—111no—
1128C2×C4×D4—111no—
1129C2×C4×D4—111no—
1130C2×C4×D4—111no—
1131C2×C4×D4—111no—
1132C2×C4×D4—111no—
1133C2×C4×D4—111no—
1134C2×C4×D4—111no—
1135C2×C4×D4—111no—
1136C2×C4×D4—111no—
1137C2×C4×D4—111no—
1138C2×C4×D4—111no—
1139C2×C4×D4—111no—
1140C2×C4×D4—111no—
1141C2×C4×D4—111no—
1142C2×C4×D4—1116no—
1143C2×C4×D4C2×D1111yescharacteristic, complemented
1144C2×C4×D4C2×D1111yescharacteristic, complemented
1145C2×#117—111no—
1146C2×#117—111no—
1147C2×#117—111no—
1148C2×#117—111no—
1149C2×#117—111no—
1150C2×#117—111no—
1151C2×#117—111no—
1152C2×#117—111no—
1153C2×#117—111no—
1154C22×C4⋊C4—111no—
1155C22×C4⋊C4—111no—
1156C22×C4⋊C4—111no—
1157C22×C4⋊C4—111no—
1158C22×C4⋊C4—111no—
1159C22×C4⋊C4—111no—
1160C22×C22⋊C4—111no—
1161C22×C22⋊C4—111no—
1162C22×C22⋊C4—111no—
1163C22×C22⋊C4—111no—
1164C22×C22⋊C4—111no—
1165C22×C22⋊C4—111no—
1166C22×C22⋊C4—111no—
1167C22×C22⋊C4—111no—
1168C22×C22⋊C4C2×D1111yescharacteristic, complemented
1169C22×C22⋊C4C2×D1111yescharacteristic, complemented
1170C22×C42—111no—
1171C22×C11—22no—
1172C22×C11—22no—
1173C22×C11—22no—
1174C22×C11—22no—
1175C22×C11—28no—
1176C22×C11—28no—
1177C22×C11—22no—
1178C22×C11—22no—
1179C22×C11—22no—
1180C22×C11—22no—
1181C22×C11—22no—
1182C22×C11—22no—
1183C22×C11—22no—
1184C22×C11—22no—
1185C22×C11—22no—
1186C22×C11—22no—
1187C22×C11—22no—
1188C22×C11—22no—
1189C22×C11—416no—
1190C22×C11—44no—
1191C22×C11—44no—
1192C22×C11—44no—
1193C22×C11—44no—
1194C22×C11—88no—
1195C22×C11C22×#4114yes—
1196C22×C11C22×#4112yes—
1197C22×C11C2×H(5,𝔽2)14yes—
1198C22×C11C2×H(5,𝔽2)12yes—
1199C22×C11#58512yes—
1200C22×C11C2611yescharacteristic
1201C2×D11—22no—
1202C2×D11—22no—
1203C2×D11—28no—
1204C2×D11—22no—
1205C2×D11—22no—
1206C2×D11—22no—
1207C2×D11—22no—
1208C2×D11—22no—
1209C2×D11—22no—
1210C2×D11—416no—
1211C2×D11—44no—
1212C2×D11—44no—
1213C2×D11—88no—
1214C2×D11C22×#4114yes—
1215C4×C11—22no—
1216C4×C11—22no—
1217C4×C11—22no—
1218C4×C11—22no—
1219C4×C11—22no—
1220C4×C11—22no—
1221C4×C11—22no—
1222C4×C11—22no—
1223C4×C11—22no—
1224Dic11—22no—
1225Dic11—22no—
1226Dic11—22no—
1227Dic11—22no—
1228Dic11—22no—
1229Dic11—22no—
1230Dic11—22no—
1231Dic11—22no—
1232Dic11—22no—
1233Dic11—22no—
1234Dic11—22no—
1235Dic11—22no—
1236Dic11C22×#4114yes—
1237C25—111no—
1238C25—111no—
1239C25C22×D1111yescharacteristic
1240C25C22×D1111yescharacteristic
1241C2×#41—44no—
1242C2×#41—118no—
1243C2×#41—118no—
1244C2×#41—228no—
1245C2×#41—444no—
1246C2×#41C22×D1118yescomplemented
1247C22×Q8—111no—
1248C22×Q8—111no—
1249C22×Q8—111no—
1250C22×Q8C22×D1111yescharacteristic
1251C22×D4—44no—
1252C22×D4—111no—
1253C22×D4—111no—
1254C22×D4—111no—
1255C22×D4—111no—
1256C22×D4—111no—
1257C22×D4—111no—
1258C22×D4—111no—
1259C22×D4—111no—
1260C22×D4—118no—
1261C22×D4—111no—
1262C22×D4—118no—
1263C22×D4—111no—
1264C22×D4—111no—
1265C22×D4—111no—
1266C22×D4—111no—
1267C22×D4—111no—
1268C22×D4—118no—
1269C22×D4—111no—
1270C22×D4—228no—
1271C22×D4—228no—
1272C22×D4—444no—
1273C22×D4C22×D1111yescharacteristic
1274C22×D4C22×D1111yescharacteristic
1275C22×D4C22×D1111yescharacteristic
1276C22×D4C22×D1111yescharacteristic
1277C22×D4C22×D1111yescharacteristic
1278C22×D4C22×D1111yescharacteristic
1279C22×D4C22×D1111yescharacteristic
1280C22×D4C22×D1111yescharacteristic
1281C22×D4C22×D1111yescharacteristic
1282C22×D4C22×D1118yes—
1283C23×C4—111no—
1284C23×C4—111no—
1285C23×C4—111no—
1286C23×C4—111no—
1287C23×C4—111no—
1288C23×C4—111no—
1289C23×C4—111no—
1290C23×C4—111no—
1291C23×C4—111no—
1292C23×C4—111no—
1293C23×C4—111no—
1294C23×C4—111no—
1295C23×C4—118no—
1296C23×C4—111no—
1297C23×C4—111no—
1298C23×C4—111no—
1299C23×C4—111no—
1300C23×C4—111no—
1301C23×C4—111no—
1302C23×C4—111no—
1303C23×C4—111no—
1304C23×C4—111no—
1305C23×C4—118no—
1306C23×C4—444no—
1307C23×C4—444no—
1308C23×C4C22×D1111yescharacteristic
1309C23×C4C22×D1111yescharacteristic
1310C23×C4C22×D1111yescharacteristic
1311C23×C4C22×D1111yescharacteristic
1312C23×C4C22×D1111yescharacteristic
1313C23×C4C22×D1111yescharacteristic
1314C4⋊Q8—118no—
1315#127—118no—
1316#126—118no—
1317#126—118no—
1318#126—118no—
1319#126—118no—
1320#126—118no—
1321#126—118no—
1322#126—118no—
1323#126—118no—
1324#126—118no—
1325#126—118no—
1326#125—118no—
1327#125—118no—
1328#125—118no—
1329#125—118no—
1330#125—118no—
1331#124—118no—
1332#124—118no—
1333#124—118no—
1334#124—118no—
1335#124—118no—
1336#124—118no—
1337#124C22×D1118yescomplemented
1338#123—118no—
1339#123—118no—
1340#123—118no—
1341#123—118no—
1342#123—118no—
1343#123—118no—
1344#123—118no—
1345#123—118no—
1346#123—118no—
1347#123—118no—
1348#123—118no—
1349#123—118no—
1350#123—118no—
1351#123—118no—
1352#123—118no—
1353#123—118no—
1354#123—118no—
1355#123—118no—
1356#123—118no—
1357#123—118no—
1358#123—118no—
1359#123—118no—
1360#123—118no—
1361#123—118no—
1362#123C22×D1118yes—
1363#123C22×D1118yescomplemented
1364C22⋊Q8—118no—
1365C22⋊Q8—118no—
1366C22⋊Q8—118no—
1367C22⋊Q8—118no—
1368C22⋊Q8—118no—
1369C22⋊Q8—118no—
1370C22⋊Q8—118no—
1371C22⋊Q8—118no—
1372C22⋊Q8—118no—
1373C22⋊Q8—118no—
1374C22⋊Q8—118no—
1375C22⋊Q8—118no—
1376C22⋊Q8C22×D1118yescomplemented
1377#121—118no—
1378#121—118no—
1379#121—118no—
1380#121—118no—
1381#121—118no—
1382#121—118no—
1383#121—118no—
1384#121—118no—
1385#121—118no—
1386#121—118no—
1387#121—118no—
1388#121—118no—
1389#121—118no—
1390#121—118no—
1391#121C22×D1118yes—
1392#121C22×D1118yescomplemented
1393#121C22×D1118yescomplemented
1394#120—118no—
1395#120—118no—
1396#120—118no—
1397#120—118no—
1398#120—118no—
1399#120—118no—
1400#120C22×D1118yescomplemented
1401#120C22×D1118yescomplemented
1402C4×Q8—118no—
1403C4×Q8—118no—
1404C4×Q8—118no—
1405C4×D4—118no—
1406C4×D4—118no—
1407C4×D4—118no—
1408C4×D4—118no—
1409C4×D4—118no—
1410C4×D4—118no—
1411C4×D4—118no—
1412C4×D4—118no—
1413C4×D4—118no—
1414C4×D4—118no—
1415C4×D4—118no—
1416C4×D4—118no—
1417C4×D4—118no—
1418C4×D4—118no—
1419C4×D4—118no—
1420C4×D4—118no—
1421C4×D4—118no—
1422C4×D4—118no—
1423C4×D4—118no—
1424C4×D4—118no—
1425C4×D4—118no—
1426C4×D4—118no—
1427C4×D4—118no—
1428C4×D4—118no—
1429C4×D4—118no—
1430C4×D4—118no—
1431C4×D4—118no—
1432C4×D4C22×D1118yescomplemented
1433C4×D4C22×D1118yescomplemented
1434#117—118no—
1435#117—118no—
1436#117—118no—
1437#117—118no—
1438#117—118no—
1439#117—118no—
1440#117—118no—
1441#117—118no—
1442#117—118no—
1443C2×C4⋊C4—111no—
1444C2×C4⋊C4—111no—
1445C2×C4⋊C4—111no—
1446C2×C4⋊C4—111no—
1447C2×C4⋊C4—111no—
1448C2×C4⋊C4—111no—
1449C2×C4⋊C4—111no—
1450C2×C4⋊C4—111no—
1451C2×C4⋊C4—111no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—118no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—111no—
1456C2×C4⋊C4—111no—
1457C2×C4⋊C4—111no—
1458C2×C4⋊C4—118no—
1459C2×C4⋊C4—118no—
1460C2×C4⋊C4—111no—
1461C2×C4⋊C4—111no—
1462C2×C4⋊C4—111no—
1463C2×C4⋊C4—118no—
1464C2×C4⋊C4—111no—
1465C2×C4⋊C4—111no—
1466C2×C4⋊C4—111no—
1467C2×C4⋊C4—111no—
1468C2×C4⋊C4—111no—
1469C2×C4⋊C4—111no—
1470C2×C4⋊C4—111no—
1471C2×C4⋊C4—111no—
1472C2×C4⋊C4—111no—
1473C2×C4⋊C4—111no—
1474C2×C4⋊C4—111no—
1475C2×C4⋊C4—111no—
1476C2×C4⋊C4—111no—
1477C2×C4⋊C4—111no—
1478C2×C4⋊C4—111no—
1479C2×C4⋊C4—118no—
1480C2×C4⋊C4—118no—
1481C2×C4⋊C4C22×D1111yescharacteristic
1482C2×C4⋊C4C22×D1111yescharacteristic
1483C2×C4⋊C4C22×D1111yescharacteristic
1484C2×C4⋊C4C22×D1111yescharacteristic
1485C2×C22⋊C4—111no—
1486C2×C22⋊C4—111no—
1487C2×C22⋊C4—111no—
1488C2×C22⋊C4—111no—
1489C2×C22⋊C4—111no—
1490C2×C22⋊C4—111no—
1491C2×C22⋊C4—111no—
1492C2×C22⋊C4—111no—
1493C2×C22⋊C4—118no—
1494C2×C22⋊C4—111no—
1495C2×C22⋊C4—111no—
1496C2×C22⋊C4—111no—
1497C2×C22⋊C4—111no—
1498C2×C22⋊C4—118no—
1499C2×C22⋊C4—118no—
1500C2×C22⋊C4—111no—
1501C2×C22⋊C4—111no—
1502C2×C22⋊C4—111no—
1503C2×C22⋊C4—111no—
1504C2×C22⋊C4—111no—
1505C2×C22⋊C4—111no—
1506C2×C22⋊C4—111no—
1507C2×C22⋊C4—111no—
1508C2×C22⋊C4—111no—
1509C2×C22⋊C4—111no—
1510C2×C22⋊C4—111no—
1511C2×C22⋊C4—111no—
1512C2×C22⋊C4—111no—
1513C2×C22⋊C4—111no—
1514C2×C22⋊C4—111no—
1515C2×C22⋊C4—111no—
1516C2×C22⋊C4—118no—
1517C2×C22⋊C4—111no—
1518C2×C22⋊C4—111no—
1519C2×C22⋊C4—111no—
1520C2×C22⋊C4—111no—
1521C2×C22⋊C4—111no—
1522C2×C22⋊C4—111no—
1523C2×C22⋊C4—111no—
1524C2×C22⋊C4—111no—
1525C2×C22⋊C4—118no—
1526C2×C22⋊C4—118no—
1527C2×C22⋊C4—118no—
1528C2×C22⋊C4—118no—
1529C2×C22⋊C4C22×D1111yescharacteristic
1530C2×C22⋊C4C22×D1111yescharacteristic
1531C2×C22⋊C4C22×D1111yescharacteristic
1532C2×C22⋊C4C22×D1111yescharacteristic
1533C2×C22⋊C4C22×D1111yescharacteristic
1534C2×C22⋊C4C22×D1111yescharacteristic
1535C2×C22⋊C4C22×D1111yescharacteristic
1536C2×C22⋊C4C22×D1111yescharacteristic
1537C2×C22⋊C4C22×D1111yescharacteristic
1538C2×C22⋊C4C22×D1111yescharacteristic
1539C2×C22⋊C4C22×D1111yescharacteristic
1540C2×C22⋊C4C22×D1111yescharacteristic
1541C2×C22⋊C4C22×D1118yescomplemented
1542C2×C22⋊C4C22×D1118yescomplemented
1543C2×C42—111no—
1544C2×C42—111no—
1545C2×C42—111no—
1546C2×C42—111no—
1547C2×C42—111no—
1548C2×C42—111no—
1549C2×C42—111no—
1550C2×C42—111no—
1551C2×C42—111no—
1552C2×C42—111no—
1553C2×C42—111no—
1554C2×C42—118no—
1555C2×C42C22×D1111yescharacteristic
1556C2×C11—24no—
1557C2×C11—24no—
1558C2×C11—42no—
1559C2×C11—42no—
1560C2×C11—42no—
1561C2×C11—42no—
1562C2×C11#351314yescomplemented
1563C2×C11C23×#4111yescharacteristic
1564C2×C11C22×H(5,𝔽2)11yescharacteristic
1565C2×C11C2×#58511yescharacteristic
1566D11—24no—
1567D11—42no—
1568D11—42no—
1569C24—24no—
1570C24—24no—
1571C24—24no—
1572C24—42no—
1573C24—42no—
1574C24—42no—
1575C24—111no—
1576C24—111no—
1577C24—111no—
1578C24—114no—
1579C24—114no—
1580C24—224no—
1581C24—224no—
1582C24—224no—
1583C24—442no—
1584C24—442no—
1585C24—442no—
1586C24C23×D1111yescharacteristic
1587C24C23×D1111yescharacteristic
1588C24C23×D1111yescharacteristic
1589C24C23×D1111yescharacteristic
1590C24C23×D1114yes—
1591C24C23×D1111yescharacteristic
1592C24C23×D1111yescharacteristic
1593C24C23×D1114yes—
1594#41—416no—
1595#41—2232no—
1596#41—4416no—
1597C2×Q8—42no—
1598C2×Q8—114no—
1599C2×Q8—114no—
1600C2×Q8—114no—
1601C2×Q8—224no—
1602C2×Q8—442no—
1603C2×Q8—442no—
1604C2×Q8C23×D1114yes—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—416no—
1615C2×D4—118no—
1616C2×D4—114no—
1617C2×D4—114no—
1618C2×D4—114no—
1619C2×D4—114no—
1620C2×D4—114no—
1621C2×D4—114no—
1622C2×D4—114no—
1623C2×D4—114no—
1624C2×D4—114no—
1625C2×D4—114no—
1626C2×D4—114no—
1627C2×D4—114no—
1628C2×D4—114no—
1629C2×D4—114no—
1630C2×D4—114no—
1631C2×D4—224no—
1632C2×D4—224no—
1633C2×D4—2232no—
1634C2×D4—2232no—
1635C2×D4—224no—
1636C2×D4—224no—
1637C2×D4—224no—
1638C2×D4—224no—
1639C2×D4—224no—
1640C2×D4—224no—
1641C2×D4—442no—
1642C2×D4—442no—
1643C2×D4—442no—
1644C2×D4—442no—
1645C2×D4—442no—
1646C2×D4—442no—
1647C2×D4—4416no—
1648C2×D4C23×D1114yes—
1649C2×D4C23×D1114yes—
1650C2×D4C23×D1114yes—
1651C2×D4C23×D1114yes—
1652C2×D4C23×D1114yes—
1653C2×D4C23×D1114yes—
1654C2×D4C23×D1114yes—
1655C2×D4C23×D1114yes—
1656C2×D4C23×D1114yes—
1657C22×C4—24no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—111no—
1664C22×C4—114no—
1665C22×C4—114no—
1666C22×C4—114no—
1667C22×C4—114no—
1668C22×C4—114no—
1669C22×C4—114no—
1670C22×C4—111no—
1671C22×C4—111no—
1672C22×C4—111no—
1673C22×C4—111no—
1674C22×C4—111no—
1675C22×C4—111no—
1676C22×C4—111no—
1677C22×C4—111no—
1678C22×C4—111no—
1679C22×C4—111no—
1680C22×C4—111no—
1681C22×C4—111no—
1682C22×C4—114no—
1683C22×C4—114no—
1684C22×C4—114no—
1685C22×C4—114no—
1686C22×C4—114no—
1687C22×C4—114no—
1688C22×C4—114no—
1689C22×C4—114no—
1690C22×C4—114no—
1691C22×C4—114no—
1692C22×C4—114no—
1693C22×C4—114no—
1694C22×C4—114no—
1695C22×C4—114no—
1696C22×C4—114no—
1697C22×C4—224no—
1698C22×C4—224no—
1699C22×C4—224no—
1700C22×C4—224no—
1701C22×C4—224no—
1702C22×C4—224no—
1703C22×C4—224no—
1704C22×C4—442no—
1705C22×C4—442no—
1706C22×C4—442no—
1707C22×C4—442no—
1708C22×C4—4416no—
1709C22×C4—442no—
1710C22×C4—442no—
1711C22×C4—442no—
1712C22×C4—442no—
1713C22×C4—442no—
1714C22×C4—442no—
1715C22×C4—442no—
1716C22×C4—442no—
1717C22×C4—4416no—
1718C22×C4—442no—
1719C22×C4—442no—
1720C22×C4C23×D1114yes—
1721C22×C4C23×D1111yescharacteristic
1722C22×C4C23×D1111yescharacteristic
1723C22×C4C23×D1111yescharacteristic
1724C22×C4C23×D1111yescharacteristic
1725C22×C4C23×D1111yescharacteristic
1726C22×C4C23×D1111yescharacteristic
1727C22×C4C23×D1111yescharacteristic
1728C22×C4C23×D1111yescharacteristic
1729C22×C4C23×D1111yescharacteristic
1730C22×C4C23×D1114yes—
1731C22×C4C23×D1114yes—
1732C22×C4C23×D1114yes—
1733C22×C4C23×D1114yes—
1734C22×C4C23×D1114yes—
1735C4⋊C4—114no—
1736C4⋊C4—114no—
1737C4⋊C4—114no—
1738C4⋊C4—114no—
1739C4⋊C4—114no—
1740C4⋊C4—114no—
1741C4⋊C4—114no—
1742C4⋊C4—114no—
1743C4⋊C4—114no—
1744C4⋊C4—114no—
1745C4⋊C4—114no—
1746C4⋊C4—114no—
1747C4⋊C4—114no—
1748C4⋊C4—114no—
1749C4⋊C4—114no—
1750C4⋊C4—114no—
1751C4⋊C4—114no—
1752C4⋊C4—114no—
1753C4⋊C4—114no—
1754C4⋊C4—114no—
1755C4⋊C4—114no—
1756C4⋊C4—114no—
1757C4⋊C4—114no—
1758C4⋊C4—114no—
1759C4⋊C4—114no—
1760C4⋊C4—114no—
1761C4⋊C4—114no—
1762C4⋊C4—114no—
1763C4⋊C4—114no—
1764C4⋊C4—114no—
1765C4⋊C4—114no—
1766C4⋊C4—114no—
1767C4⋊C4C23×D1114yes—
1768C4⋊C4C23×D1114yes—
1769C4⋊C4C23×D1114yes—
1770C4⋊C4C23×D1114yes—
1771C22⋊C4—114no—
1772C22⋊C4—114no—
1773C22⋊C4—114no—
1774C22⋊C4—114no—
1775C22⋊C4—114no—
1776C22⋊C4—114no—
1777C22⋊C4—114no—
1778C22⋊C4—114no—
1779C22⋊C4—114no—
1780C22⋊C4—114no—
1781C22⋊C4—114no—
1782C22⋊C4—114no—
1783C22⋊C4—114no—
1784C22⋊C4—114no—
1785C22⋊C4—114no—
1786C22⋊C4—114no—
1787C22⋊C4—114no—
1788C22⋊C4—114no—
1789C22⋊C4—114no—
1790C22⋊C4—114no—
1791C22⋊C4—114no—
1792C22⋊C4—114no—
1793C22⋊C4—114no—
1794C22⋊C4—114no—
1795C22⋊C4—114no—
1796C22⋊C4—114no—
1797C22⋊C4—114no—
1798C22⋊C4—114no—
1799C22⋊C4—114no—
1800C22⋊C4—114no—
1801C22⋊C4—114no—
1802C22⋊C4—114no—
1803C22⋊C4—114no—
1804C22⋊C4—114no—
1805C22⋊C4—114no—
1806C22⋊C4—114no—
1807C22⋊C4C23×D1114yes—
1808C22⋊C4C23×D1114yes—
1809C22⋊C4C23×D1114yes—
1810C22⋊C4C23×D1114yes—
1811C22⋊C4C23×D1114yes—
1812C22⋊C4C23×D1114yes—
1813C22⋊C4C23×D1114yes—
1814C22⋊C4C23×D1114yes—
1815C22⋊C4C23×D1114yes—
1816C22⋊C4C23×D1114yes—
1817C22⋊C4C23×D1114yes—
1818C22⋊C4C23×D1114yes—
1819C42—114no—
1820C42—114no—
1821C42—114no—
1822C42—114no—
1823C42—114no—
1824C42—114no—
1825C42—114no—
1826C42—114no—
1827C42—114no—
1828C42—114no—
1829C42—114no—
1830C42C23×D1114yes—
1831C11C2×#351311yescharacteristic, complemented, Sylow
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—28no—
1839C23—22no—
1840C23—22no—
1841C23—22no—
1842C23—22no—
1843C23—28no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—28no—
1851C23—44no—
1852C23—44no—
1853C23—44no—
1854C23—416no—
1855C23—88no—
1856C23—114no—
1857C23—112no—
1858C23—112no—
1859C23—112no—
1860C23—228no—
1861C23—228no—
1862C23—222no—
1863C23—222no—
1864C23—228no—
1865C23—222no—
1866C23—222no—
1867C23—222no—
1868C23—222no—
1869C23—222no—
1870C23—222no—
1871C23—444no—
1872C23—444no—
1873C23—444no—
1874C23—4416no—
1875C23—888no—
1876C23#6703714yes—
1877C23#41×D1114yes—
1878C23C24×D1112yes—
1879C23C24×D1112yes—
1880C23C24×D1112yes—
1881C23C24×D1112yes—
1882C23C24×D1112yes—
1883C23C24×D1112yes—
1884C23C24×D1111yescharacteristic
1885Q8—44no—
1886Q8—228no—
1887Q8—444no—
1888Q8—444no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—28no—
1893D4—44no—
1894D4—44no—
1895D4—44no—
1896D4—44no—
1897D4—44no—
1898D4—1116no—
1899D4—228no—
1900D4—228no—
1901D4—228no—
1902D4—228no—
1903D4—228no—
1904D4—228no—
1905D4—228no—
1906D4—228no—
1907D4—444no—
1908D4—444no—
1909D4—444no—
1910D4—444no—
1911D4—444no—
1912D4—444no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—28no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—44no—
1928C2×C4—114no—
1929C2×C4—112no—
1930C2×C4—112no—
1931C2×C4—112no—
1932C2×C4—112no—
1933C2×C4—112no—
1934C2×C4—112no—
1935C2×C4—112no—
1936C2×C4—112no—
1937C2×C4—112no—
1938C2×C4—112no—
1939C2×C4—112no—
1940C2×C4—112no—
1941C2×C4—112no—
1942C2×C4—228no—
1943C2×C4—228no—
1944C2×C4—228no—
1945C2×C4—228no—
1946C2×C4—228no—
1947C2×C4—222no—
1948C2×C4—222no—
1949C2×C4—222no—
1950C2×C4—222no—
1951C2×C4—228no—
1952C2×C4—222no—
1953C2×C4—222no—
1954C2×C4—222no—
1955C2×C4—222no—
1956C2×C4—222no—
1957C2×C4—228no—
1958C2×C4—222no—
1959C2×C4—222no—
1960C2×C4—222no—
1961C2×C4—444no—
1962C2×C4—444no—
1963C2×C4—444no—
1964C2×C4—444no—
1965C2×C4—444no—
1966C2×C4—444no—
1967C2×C4—444no—
1968C2×C4—444no—
1969C2×C4—444no—
1970C2×C4—444no—
1971C2×C4—444no—
1972C2×C4—444no—
1973C2×C4—444no—
1974C2×C4—444no—
1975C2×C4C24×D1112yes—
1976C2×C4C24×D1112yes—
1977C2×C4C24×D1112yes—
1978C2×C4C24×D1112yes—
1979C2×C4C24×D1112yes—
1980C2×C4C24×D1112yes—
1981C2×C4C24×D1112yes—
1982C2×C4C24×D1112yes—
1983C2×C4C24×D1112yes—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—28no—
1989C22—28no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—22no—
1998C22—22no—
1999C22—22no—
2000C22—22no—
2001C22—22no—
2002C22—416no—
2003C22—44no—
2004C22—44no—
2005C22—44no—
2006C22—44no—
2007C22—88no—
2008C22—114no—
2009C22—222no—
2010C22—222no—
2011C22—228no—
2012C22—222no—
2013C22—222no—
2014C22—222no—
2015C22—222no—
2016C22—222no—
2017C22—222no—
2018C22—4416no—
2019C22—444no—
2020C22—444no—
2021C22—888no—
2022C22C2×#6703714yes—
2023C22C2×#6703712yes—
2024C22C2×#41×D1114yes—
2025C22C2×#41×D1112yes—
2026C22#1062345512yes—
2027C22C25×D1111yescharacteristic
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—22no—
2036C4—22no—
2037C4—114no—
2038C4—222no—
2039C4—222no—
2040C4—222no—
2041C4—222no—
2042C4—222no—
2043C4—222no—
2044C4—222no—
2045C4—222no—
2046C4—222no—
2047C4—222no—
2048C4—222no—
2049C4—222no—
2050C2—24no—
2051C2—24no—
2052C2—42no—
2053C2—42no—
2054C2—42no—
2055C2—42no—
2056C2—224no—
2057C2—442no—
2058C2—442no—
2059C2#1308254914yesdirect product factor
2060C2C22×#41×D1111yescharacteristic
2061C2C22×#6703711yescharacteristic
2062C2C2×#1062345511yescharacteristic
subgroupG/H
centerC23C24×D11
commutator, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC2×C11×#546C2
socleC23×C11C25
hypercenterC2×#546D11
hypocenterC11C2×#3513
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#546

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #13082549C2direct (N × H)
2. C2×#10623195C2semidirect
3. C2×#10623167C2semidirect
4. C2×#10623071C2semidirect
5. C2×#10623145C2semidirect
6. C2×#10623132C2semidirect
7. C2×#10623181C2semidirect
8. C2×#10623210C2semidirect
9. C2×#10623087C2semidirect
10. C2×#10623026C2semidirect
11. C2×#10623026C2semidirect
12. C2×#10623355C2semidirect
13. C2×#10623141C2semidirect
14. C2×#10623122C2semidirect
15. C2×#10623122C2semidirect
16. C2×D4×C22⋊D11C2semidirect
17. C2×#10623200C2semidirect
18. C2×#10623146C2semidirect
19. C2×#10623176C2semidirect
20. C2×#10623191C2semidirect
21. C2×#10623124C2semidirect
22. C2×#10623144C2semidirect
23. C2×#10623131C2semidirect
24. C2×#10623069C2semidirect
25. C2×#10623359C2semidirect
26. C2×#10623117C2semidirect
27. C22×#66988C2semidirect
28. C2×D11×#123C2semidirect
29. C2×#10623077C2semidirect
30. C2×#10623017C2semidirect
31. C22×(C22⋊D11)⋊C4C2semidirect
32. C2×C11×#546C2semidirect
33. C22×C11×#41C22semidirect
37. C24×Dic11C22semidirect
39. C22×#4341C22semidirect
41. C23×C4×D11C22semidirect
42. C11×#546C22semidirect
43. C2×C11×#124C22semidirect
45. C2×C11×#123C22semidirect
46. C2×C11×C22⋊Q8C22semidirect
48. C2×C11×#121C22semidirect
49. C2×C11×#121C22semidirect
50. C2×C11×#120C22semidirect
51. C2×C11×#120C22semidirect
52. C2×C4×D4×C11C22semidirect
53. C2×C4×D4×C11C22semidirect
54. C22×C11×C22⋊C4C22semidirect
55. C22×C11×C22⋊C4C22semidirect
58. C22×C22⋊Dic11C22semidirect
59. C22×C22⋊Dic11C22semidirect
60. C22×C22⋊Dic11C22semidirect
61. #10623359C22semidirect
62. #10623355C22semidirect
63. C2×#66999C22semidirect
64. C2×#66999C22semidirect
65. C2×#66999C22semidirect
66. C2×#66997C22semidirect
70. C2×#66992C22semidirect
71. C2×#66992C22semidirect
72. C2×#66992C22semidirect
73. C2×#66992C22semidirect
74. C2×#66992C22semidirect
75. C2×#66992C22semidirect
76. D4×C22⋊D11C22semidirect
78. C2×#66991C22semidirect
79. C2×#66991C22semidirect
80. C2×#66991C22semidirect
83. C2×#66990C22semidirect
84. C2×#66990C22semidirect
85. C2×#66989C22semidirect
88. C2×#66988C22semidirect
89. C2×#66988C22semidirect
90. C2×#66988C22semidirect
91. C2×#66988C22semidirect
92. C2×#66988C22semidirect
93. C2×#66988C22semidirect
94. C2×#66988C22semidirect
95. C2×#66988C22semidirect
96. C2×#66988C22semidirect
98. C2×D4×Dic11C22semidirect
99. C2×D4×Dic11C22semidirect
100. C2×D4×Dic11C22semidirect
101. C2×D4×Dic11C22semidirect
103. C2×#66982C22semidirect
104. C2×#66982C22semidirect
105. C2×#66982C22semidirect
107. C2×C4×C22⋊D11C22semidirect
108. C2×C4×C22⋊D11C22semidirect
109. C2×C4×C22⋊D11C22semidirect
110. C2×C4×C22⋊D11C22semidirect
111. C2×C4×C22⋊D11C22semidirect
112. C2×C4×C22⋊D11C22semidirect
113. C2×C4×C22⋊D11C22semidirect
114. C2×C4×C22⋊D11C22semidirect
115. C22×(C2×D11)⋊C4C22semidirect
116. C2×#66979C22semidirect
117. C2×#66979C22semidirect
118. C2×#66977C22semidirect
119. C2×#66977C22semidirect
120. C22×Dic11⋊C4C22semidirect
121. C22×Dic11⋊C4C22semidirect
122. C22×Dic11⋊C4C22semidirect
123. C22×Dic11⋊C4C22semidirect
124. C22×C4×Dic11C22semidirect
125. #10623210C22semidirect
126. #10623200C22semidirect
127. #10623195C22semidirect
128. #10623191C22semidirect
129. D11×#123C22semidirect
130. #10623181C22semidirect
131. #10623176C22semidirect
132. #10623167C22semidirect
133. #10623146C22semidirect
134. #10623145C22semidirect
135. #10623144C22semidirect
136. #10623141C22semidirect
137. #10623132C22semidirect
138. #10623131C22semidirect
139. #10623124C22semidirect
140. #10623122C22semidirect
141. #10623122C22semidirect
142. #10623117C22semidirect
143. #10623087C22semidirect
144. #10623077C22semidirect
145. #10623071C22semidirect
146. #10623069C22semidirect
147. C2×#66951C22semidirect
148. C2×#66951C22semidirect
149. C2×#66949C22semidirect
150. C2×#66949C22semidirect
151. C2×#66947C22semidirect
152. C2×#66947C22semidirect
153. C2×#66947C22semidirect
154. C2×C4⋊C4×D11C22semidirect
155. C2×C4⋊C4×D11C22semidirect
156. C2×#66943C22semidirect
157. C2×#66943C22semidirect
158. C2×#66942C22semidirect
159. C2×#66942C22semidirect
160. C2×#66942C22semidirect
161. C2×#66940C22semidirect
162. C2×#66940C22semidirect
163. #10623026C22semidirect
164. #10623026C22semidirect
165. C2×#66939C22semidirect
166. C2×#66939C22semidirect
167. C2×#66939C22semidirect
168. C2×#66938C22semidirect
169. C2×#66938C22semidirect
170. C2×#66938C22semidirect
171. C2×#66938C22semidirect
172. C2×#66938C22semidirect
173. C2×#66937C22semidirect
174. C2×#66936C22semidirect
175. C2×#66936C22semidirect
176. C2×#66936C22semidirect
177. C2×#66936C22semidirect
178. C2×#66936C22semidirect
179. #10623017C22semidirect
183. C2×(C22⋊D11)⋊C4C22semidirect
184. C2×(C22⋊D11)⋊C4C22semidirect
185. C2×(C22⋊D11)⋊C4C22semidirect
186. C2×(C22⋊D11)⋊C4C22semidirect
187. C2×(C22⋊D11)⋊C4C22semidirect
188. C2×(C22⋊D11)⋊C4C22semidirect
189. C2×(C22⋊D11)⋊C4C22semidirect
190. C2×(C22⋊D11)⋊C4C22semidirect
191. C2×(C22⋊D11)⋊C4C22semidirect
192. C2×(C22⋊D11)⋊C4C22semidirect
193. C2×(C22⋊D11)⋊C4C22semidirect
194. C2×C22⋊C4×D11C22semidirect
195. C2×C22⋊C4×D11C22semidirect
196. C2×C22⋊C4×D11C22semidirect
197. C2×C22⋊C4×D11C22semidirect
198. C2×#66932C22semidirect
199. C2×#66932C22semidirect
200. C2×#66932C22semidirect
201. C2×#66932C22semidirect
202. C2×#66932C22semidirect
203. C2×#66932C22semidirect
204. C2×#66932C22semidirect
205. C2×#66931C22semidirect
206. C2×#66931C22semidirect
207. C2×#66931C22semidirect
208. C2×#66931C22semidirect
209. C2×#66931C22semidirect
210. C2×#66930C22semidirect
211. C2×#66930C22semidirect
212. C2×#66930C22semidirect
213. C2×#66930C22semidirect
214. C2×#66930C22semidirect
215. C2×#66929C22semidirect
216. C2×#66925C22semidirect
217. C2×#66925C22semidirect
218. C2×C4×Dic22C22semidirect
224. C2×C11×#41C23semidirect
274. C23×Dic11C23semidirect
278. C2×#4341C23semidirect
292. C22×C4×D11C23semidirect
296. C11×#124C23semidirect
298. C11×#123C23semidirect
299. C11×C22⋊Q8C23semidirect
301. C11×#121C23semidirect
302. C11×#121C23semidirect
303. C11×#120C23semidirect
304. C11×#120C23semidirect
305. C4×D4×C11C23semidirect
306. C4×D4×C11C23semidirect
323. C2×C11×C22⋊C4C23semidirect
324. C2×C11×C22⋊C4C23semidirect
348. C2×C22⋊Dic11C23semidirect
349. C2×C22⋊Dic11C23semidirect
350. C2×C22⋊Dic11C23semidirect
351. #66999C23semidirect
352. #66999C23semidirect
353. #66999C23semidirect
354. #66997C23semidirect
358. #66992C23semidirect
359. #66992C23semidirect
360. #66992C23semidirect
361. #66992C23semidirect
362. #66992C23semidirect
363. #66992C23semidirect
365. #66991C23semidirect
366. #66991C23semidirect
367. #66991C23semidirect
370. #66990C23semidirect
371. #66990C23semidirect
372. #66989C23semidirect
375. #66988C23semidirect
376. #66988C23semidirect
377. #66988C23semidirect
378. #66988C23semidirect
379. #66988C23semidirect
380. #66988C23semidirect
381. #66988C23semidirect
382. #66988C23semidirect
384. D4×Dic11C23semidirect
385. D4×Dic11C23semidirect
386. D4×Dic11C23semidirect
387. D4×Dic11C23semidirect
389. #66982C23semidirect
390. #66982C23semidirect
391. #66982C23semidirect
393. C4×C22⋊D11C23semidirect
394. C4×C22⋊D11C23semidirect
395. C4×C22⋊D11C23semidirect
396. C4×C22⋊D11C23semidirect
397. C4×C22⋊D11C23semidirect
398. C4×C22⋊D11C23semidirect
399. C4×C22⋊D11C23semidirect
400. C4×C22⋊D11C23semidirect
417. C2×(C2×D11)⋊C4C23semidirect
418. #66979C23semidirect
419. #66979C23semidirect
428. #66977C23semidirect
429. #66977C23semidirect
454. C2×Dic11⋊C4C23semidirect
455. C2×Dic11⋊C4C23semidirect
456. C2×Dic11⋊C4C23semidirect
457. C2×Dic11⋊C4C23semidirect
469. C2×C4×Dic11C23semidirect
470. #66951C23semidirect
471. #66951C23semidirect
472. #66949C23semidirect
473. #66949C23semidirect
474. #66947C23semidirect
475. #66947C23semidirect
476. #66947C23semidirect
477. C4⋊C4×D11C23semidirect
478. C4⋊C4×D11C23semidirect
479. #66943C23semidirect
480. #66943C23semidirect
481. #66942C23semidirect
482. #66942C23semidirect
483. #66942C23semidirect
484. #66940C23semidirect
485. #66940C23semidirect
486. #66939C23semidirect
487. #66939C23semidirect
488. #66939C23semidirect
489. #66938C23semidirect
490. #66938C23semidirect
491. #66938C23semidirect
492. #66938C23semidirect
493. #66938C23semidirect
494. #66937C23semidirect
495. #66936C23semidirect
496. #66936C23semidirect
497. #66936C23semidirect
498. #66936C23semidirect
499. #66936C23semidirect
503. (C22⋊D11)⋊C4C23semidirect
504. (C22⋊D11)⋊C4C23semidirect
505. (C22⋊D11)⋊C4C23semidirect
506. (C22⋊D11)⋊C4C23semidirect
507. (C22⋊D11)⋊C4C23semidirect
508. (C22⋊D11)⋊C4C23semidirect
509. (C22⋊D11)⋊C4C23semidirect
510. (C22⋊D11)⋊C4C23semidirect
511. (C22⋊D11)⋊C4C23semidirect
512. (C22⋊D11)⋊C4C23semidirect
513. C22⋊C4×D11C23semidirect
514. C22⋊C4×D11C23semidirect
515. C22⋊C4×D11C23semidirect
516. C22⋊C4×D11C23semidirect
517. #66932C23semidirect
518. #66932C23semidirect
519. #66932C23semidirect
520. #66932C23semidirect
521. #66932C23semidirect
522. #66932C23semidirect
523. #66932C23semidirect
524. #66931C23semidirect
525. #66931C23semidirect
526. #66931C23semidirect
527. #66931C23semidirect
528. #66931C23semidirect
529. #66930C23semidirect
530. #66930C23semidirect
531. #66930C23semidirect
532. #66930C23semidirect
533. #66930C23semidirect
534. #66929C23semidirect
535. #66925C23semidirect
536. #66925C23semidirect
537. C4×Dic22C23semidirect
622. C2×C22⋊D11#41semidirect
816. C2×#546D11semidirect
933. C22⋊D11C2×#41semidirect
987. C22×#41C2×D11semidirect
1008. #546C2×D11semidirect
1041. C2×#124C2×D11semidirect
1071. C2×#123C2×D11semidirect
1084. C2×C22⋊Q8C2×D11semidirect
1100. C2×#121C2×D11semidirect
1101. C2×#121C2×D11semidirect
1108. C2×#120C2×D11semidirect
1109. C2×#120C2×D11semidirect
1143. C2×C4×D4C2×D11semidirect
1144. C2×C4×D4C2×D11semidirect
1168. C22×C22⋊C4C2×D11semidirect
1169. C22×C22⋊C4C2×D11semidirect
1246. C2×#41C22×D11semidirect
1337. #124C22×D11semidirect
1363. #123C22×D11semidirect
1376. C22⋊Q8C22×D11semidirect
1392. #121C22×D11semidirect
1393. #121C22×D11semidirect
1400. #120C22×D11semidirect
1401. #120C22×D11semidirect
1432. C4×D4C22×D11semidirect
1433. C4×D4C22×D11semidirect
1541. C2×C22⋊C4C22×D11semidirect
1542. C2×C22⋊C4C22×D11semidirect
1562. C2×C11#3513semidirect
1831. C11C2×#3513semidirect
2059. C2#13082549direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#130825492
C2×#106231952
C2×#106231672
C2×#106230712
C2×#106231452
C2×#106231322
C2×#106231812
C2×#106232102
C2×#106230872
C2×#106230262
C2×#106233552
C2×#106231412
C2×#106231222
C2×D4×C22⋊D112
C2×#106232002
C2×#106231462
C2×#106231762
C2×#106231912
C2×#106231242
C2×#106231442
C2×#106231312
C2×#106230692
C2×#106233592
C2×#106231172
C22×#669882
C2×D11×#1232
C2×#106230772
C2×#106230172
C22×(C22⋊D11)⋊C42
C2×C11×#5462
C2×#351311